I'm black. I thought I might have given too much away with the 3-3 invasion in the bottom right. Should I have protected there earlier?

I am not strong enough to comment fully, but maybe I can offer a little help. Please take these comments lightly because I am not really strong enough. Maybe some other players will also say if I am wrong on this.

P14 seems like it is the wrong direction. Both the top and bottom right corners seem bigger at S16 or S4.
However, P14 is not too bad. I think the bigger problem comes from not attacking the invading white group at G16. I also feel like there is probably a stronger forcing move than P14 on the right side, but I am not strong enough to say what it is.
After H13, the white group is still weak, and it should be exploited to gain either strength or territory. My suggestion, since you have the P14 stone is to build a wall along K13, forcing white into the center. This would build a line of strength to potentially play forcing moves on the right and take some center territory.
After the plays made, I feel like White gets a lot of strength from this invasion, where black simply captures the G15 stones.
Like I said, I am not sure if these are good comments or not, but I just thought I would share anyway.

It seems you prefer peace. Then at least try to get your peace at favourable conditions. Initial you are komi ahead, so keep this lead through the opening. I like this more than the game.

Click Here To Show Diagram Code

[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . X . . . . . . . . . . . . . . . |
$$ | . . a . . X . . . . . . . X . . . . . |
$$ | . . . O . . . . . 5 . . . . . X . . . |
$$ | . . . . . g . . . . . . . . . . 1 . . |
$$ | . . O . . . . . . . . . . . . 2 O d . |
$$ | . . . h . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . f . O . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . . . . . . . 4 O e . |
$$ | . . . . . . . . . c . . . . . . 3 . . |
$$ | . . . O . X . . . , . . . . . X . . . |
$$ | . . b . O X . . . X . . . X . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+[/go]

after this a.. h are interesting points for you. All peaceful apart from b. Probably he wants to fight now, but you are ready.
If he doesn't play 2 or 4 you are happy to play there extending your moyo, reducing his. That is what this 7 kyu thinks.

Thanks for all the replies! They've definitely given me some ideas to apply in future games.