You are right,

Some first level spells are not (that) useful for first level characters

The combat rules for measuring the duration of effects (including spells) state:

When the rules refer to a "full round", they usually mean a span of time from a particular initiative count in one round to the same initiative count in the next round. Effects that last a certain number of rounds end just before the same initiative count that they began on.

^{(emphasis mine)}

Unfortunately for our first level casters, this means that when they cast a spell which lasts only 1 round, it will fizz away immediately before they get a chance to use it.

So, why would something like this even be a Level 1 option?

First of all, there are several exceptions which makes such spells useful even for a first level character:

• Touch spells allow you to "hold the charge" until you successfully hit with them, and give you a "free" touch attack attempt as part of the action of casting the spell.
  So you can attack on the same round you cast them, as well as keep trying to hit for as many following rounds as you need.
• The spell is still active during other combatants' actions on that round - both enemies and allies - this may come up when:
  • Your spell can counter an enemy's action - for example, casting Unbreakable Heart on yourself will protect you from a Fear spell your enemy will cast during his action.
  • You cast the spell to buff an ally (such as Sun Metal cast on your barbarian friend's axe or Unbreakable Heart cast on a confused ally, allowing him to take his turn normally)
  • An enemy exposes himself to your attack of opportunity (your Sun Metal will be active and enhance your damage during his turn)

But, most importantly, some first level spells are mainly useful for casters of higher levels - but it is still better that they are first level spells, because:

• You can access them earlier - for example, Sun Metal may be cast by a 5th level ranger (caster level 2), if it was a second level spell, that ranger will have to be at least 7th level to cast it.
• You can cast them more times per day - sticking with Sun Metal as an example - a 7th level ranger can cast it 2 times per day, instead of just once if it was a second level spell.
• They don't "compete" for spell slots with the more powerful second level spells - at the end of the day, you probably wouldn't want to trade a casting of Brow Gasher or Wilderness Soldiers, just to gain the benefits of Sun Metal - it is not powerful enough to justify being a second level spell, and if it was, it probably would have never been selected by any ranger.

Hope this helps you making sense of it all...

p.s. - I'm not even trying to discuss whether casting Sun Metal is ever the optimal choice for a ranger of any level - you didn't seem to ask about that, and I normally don't care much about such issues myself, so I may not be the best user to tackle that...

Unfortunately, it would require your action. You can sheath a weapon or draw a weapon using your free object interaction, but not both. (Addendum: The Dual Wielder feat allows you to draw 2 weapons or sheath 2 weapons using a single object interaction. Note that this does nothing to fix your problem, it just seemed worth mentioning.)

A Rogue with the Thief archetype is absolutely free to use their Cunning Action to Use An Object on any object they choose (assuming they have the feature, obviously), and the scenario you describe is a perfectly legitimate use for Cunning Action.

However, there is another solution for all the non-Rogue players who want to switch weapons and attack in a single turn: Drop your weapon, don't sheathe it.

Dropping something requires no action at all, not even your free object interaction. So you can drop your weapon, use your free object interaction to draw a different weapon, and attack with that weapon on a single turn. And move too, if you want. Just remember to come pick up your dropped weapon later (probably at the end of the combat.)