The Real Problems Did Not Get Fixed
But let's talk about these individually.
Multiple Attribute Dependancy
Also known as MAD, this has plagued the poor Monk for ages. Monks need Strength for accuracy and damage, Dexterity and Wisdom for their armor class and two saving throws, Constitution for hit points (to be fair, all characters want this) and their last saving throw, Intelligence for skill points and Charisma to make use of their short list of social skills. This is not a good thing, because there's only so many high or even mid ability score numbers to go around. Pathfinder seemed like it was going to help this when it improved the skill system, consolidating many skills and relieving the reliance on Intelligence, but then it turned right back around and made boosting your ability scores with items more expensive, actually worsening this particular issue.
Anti-Synergistic Class Features
This just straight-up didn't change. Many of the Monk's class features are mutually exclusive with other features, with the use of feats, with the use of skills, or some delightfully awful combination of all three. Additionally, Monk still has problems making use of combat maneuvers (due both to low numbers and the increasing Size rating of stock enemies) and the feats relating to those maneuvers got weaker, cutting off a theoretical avenue of contribution.
More Melee, More Problems
Traditional problems with "mundane" or "melee" classes like Monk, but also like Fighter or Barbarian, were not solved by Pathfinder. They still have problems with enemies of all kinds that fly, burrow, teleport, cast spells, use "lockdown" effects like paralysis or poison, and utilize battlefield control (spiderwebs, choking fogs, etc) among other things. Like all melee classes, the Monk is forced to funnel enormous amounts of cash into meeting the increasing demand for complexity as levels and challenge ratings climb ever-higher. Unlike other melee classes, Monks cannot shore up their "primary" role, because...
Monks have no specialization
And, unlike Rogues or Bards, Monks cannot be made into competent generalists because of the aforementioned anti-synergy and low numbers, forcing them to pour resource after resource into badly mimicking another class's role.
On Monk's defence: the Archetype system
Pathfinder did introduce the Archetype system, a refinement on the idea of Alternate Class Features from 3.5e. Some Monk archetypes, such as Zen Archer and Hungry Ghost, work to alleviate some of these issues. Combinations of archetypes, done intelligently, may make for a playable character whose class still reads 'Monk'. Whether or not such a thing is worth the effort is not easily decided, but the options are available.
Monk changes very often
With that in mind, a word to the wise - Pathfinder gets errata often, and Monk has been the subject of many heated debates and quick rules changes, such as the brief-lived errata to Flurry of Blows. This does not have to affect your table, but if you're participating in a sanctioned table (like in Pathfinder Society) or if your group cares about such things your Monk may find the rules shifting out rapidly from underneath him. Caveat emptor.
Stun, Daze and similar stuff don't impede your movement...
...they make your mind funny.
While you are stunned, there's nothing holding your body to move. You just can't think right to actually do something. If you take a really hard blow to your head, that won't make your body harder to move - it will make your brain go gonzo for a few secs, before you became aware of what's really happening.
Stun is not about movement, is about senses of what's going on.
Freedom of Movement makes "your body work right", not anything else. It allows you to move, but not allows you to think. You can't think if you're dead. Or Stunned.
Paralysis don't block purely mental actions, so it don't block "thinking".
Slow makes your body... well, slower, but it doesn't affect your thinking.
Web is... well, a web. It hinders your body, not your mind.
Stun, Daze, Dazzle and similar stuff, on the other hand, makes your senses go wacko, so they aren't really blocking your movement. Stun never stopped you from moving, it just stopped you from thinking for a while - and since you don't think, you don't act.
So, the point is,
If something affect your senses, Freedom of Movement can't help you.
Think like a "Houdini Effect". Houdini can escape from almost anything, considering that he
knows what's going on. If you throw him with a concussion inside a closed coffin... well... he will stay there.
So, to determine what Freedom of Movement removes or not, use a simple rule:
Why I can't move?
If you can't move because a spell or something is hindering your body to move, like Web, Freedom of Movement can help you.
If you can't move because a spell or something is making your brain go gonzo, like Stun, or because your body becomes something that can't normally move, like stone from Flesh to Stone*, it won't help you.
*Flesh to Stone don't impede your movement, it merely limits you to the movement that a stone statue is allowed to do. A "Freedom of Movement"-ed and "Web"-ed person would become a completely untangled stone statue.
Also, read Freedom, the 9th level spell:
The subject is freed from spells and effects that restrict its movement, including binding, entangle, grappling, imprisonment, maze, paralysis, petrification, pinning, sleep, slow, stunning, temporal stasis, and web. To free a creature from imprisonment or maze, you must know its name and background, and you must cast this spell at the spot where it was entombed or banished into the maze.
Emphasis mine.
Freedom removes a bunch of effects, like Flesh to Stone and Stun. It would seem rather... strange to say that a way lower-level spell can do almost all the things that a 9th level spell can. Freedom is Freedom, not Freedom of Movement.
Best Answer
The list of touch-range, damage-dealing spells of level 5 and below that aren't on the Duskblade list already isn't very long. At least not if you further restrict that list to "useful spells".
Anyway, there are a few well-known ways to get extra spells known/on to a general class list (there are no Duskblade-specific methods) that can be useful here:
Now, then there is the question of what spells you actually want.
Harm would be great here, but I don't know of a way to get it as a 5th level spell.
But, at the bottom line... I don't think it's worth the opportunity cost in any of these cases. Maybe for Combust, but Duskblades are rather build-constrained as it is.