[RPG] How many powers do I get as a first level character in D&D 4E

Any class power can be taken by a character if:

• That character can take powers of that class
• The class power in question has an explicit level and the character is eligible to take powers of that level. (Either from a newly gained power, or from retraining)
• The class power is of the same type (attack or utility)

This goes for Essentials characters taking regular powers and vice-versa.

The Slayer (I'm assuming this is what you meant by "Essentials Fighter" gains, at level 1 two stances (out of 6 to chose from). These are all listed as Fighter Utility powers, so they are not eligible for a regular fighter to take. Compare to the powers gained at second level which are listed at Fighter Utility 2. Those are eligible for any fighter to take.

The rules for this are on p57 of the Heroes of the Fallen Lands book.

You must only prepare spells that are different levels within a power type (Encounter, Daily or Utility). Example: You have a spellbook that lists 2 - 14th level spells as available to your character to prepare. In preparing spells for the day you can only prepare one of them, period.

You would not necessarily have different levels between power types. Example: You might a have a 1st level Encounter and a 1st level Daily prepared. You would not have 2 1st level Daily's prepared.

Added per Request From comments below:

Yes. DDI: "Spells Prepared per Day" table shows how many encounter, daily, and utility powers you are allowed to prepare each day. You cannot prepare more than one power of any given level on the same day. For example, a 14th-level mage who has taken the enigmatic mage paragon path can prepare four encounter attack powers per day. Her spellbook contains multiple encounter attack powers at various levels. She can prepare four powers from any of the levels, as long as none of the prepared powers are of the same level. Treat each power type (E.D.U.) separately.

Your example: "Her spellbook contains multiple ENCOUNTER attack powers at various levels. She can prepare..." is the key to the answer.