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I guess you mean 3. Ng4 ?

  1. a7 Qc8 (a little bit more active than Qa8)
  2. e5 g5!?
  3. And now?

Yes Ng4, sorry.

  1. a7 Qc8
  2. Ra1 Qa8
  3. e5 g5
  4. Qxg5+ Bg6
  5. Qh6 (black king can't go to h7) Bf5+
  6. Kh2 Bg6
  7. Rg1 Qc8 (unique move if black does not want to lose material)
  8. Ne4 f5
  9. Rxg6+ Kf7
  10. Qg7#

Looks good in general but after 2. Ra1 black need not to play Qa8 (better is 2. ... e5). Therefore you should think about your second move.
I will check again tomorrow - and I really guess you will present the completely correct variation until then.

Thinking about it better, you are right. (2. e5) is better than (2. Ra1) because after (2. Ra1), black can move (2. ... e5) winning the e6 square for the knight, so:

  1. a7 Qc8

  2. e5 g5

  3. Qxg5+

    3. ...Rh8 
    4. Rg1 Bf5+
    5. Kh2 Bg6 
    6. Qh6+ Kg8
    7. Ne4 f5
    8. Qxg6+ Kh8
    9. Qg7#
    

3.. ...Bg6
4.. Qh6 (black king can't go to h7) Bf5+
5.. Kh2 Bg6
6.. Rg1 Qa8 (unique move if black does not want to lose material)
7.. Ne4 f5
8.. Rxg6+ Kf7
9.. Qg7#

Well done! :)
You will find the complete solution above.

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