I am in agreeance with the replies so far. You are sitting too far back in the saddle so are not in the deepest/most effective position.
This could be you or the saddle, I've seen a lot of people who ride just a tad to short in the stirrup and push themselves back by trying to keep their leg long.
Puppy paws, I like that saying!
yep you got 'em but a lot of people do so don't stress, as mentioned before try riding like you were holding full wine glasses, thumbs up or there will be less to drink after the ride
Puppy paws lead to Chicken Wings and chicken wings lead to the butch look
meaning flat hands lead to elbows sticking out which leads to rounded shoulders. So try to straighten up, tuck in and roll back.
All this is very minor as you look like a very nice rider, it will just help you to be more effective.
Good luck and keep at it.