Q 4 Answer
5 DIAMONDS
Your partner has overcalled spades so should have 5 cards and 10 points. You have 17 HCPs and if your partner has one diamond you have a fit and can add shortage points. You are not vulnerable so 5 diamonds.
Q 14 Answer
4 HEARTS
Your partner has repeated hearts so has 6 cards in the suit. You now have a fit and can add shortage points and so should go to 4H.
Q 6 Answer
PASS
This is difficult as you have 16 HCPs and your partner has not bid. You are vulnerable so you should probably PASS.
Q 16 Answer
DOUBLE
You have 10 HCPs and cannot bid 2H over 2C (as you would be promising 5 cards), so you should DBL promising both majors, even though you only have 3 cards in spades.
Q1 5 Answer
PASS
Your partner has been forced to bid their best suit but may not have many points. As you do not have 16 points you should PASS.
Q 5 Answer
2 Clubs
Your partner has done a Takeout double after SOUTH's 1D. They have a maximum of 2 hearts and a minimum of 3 of the other suits and ask you to call your best suit. NORTH has responded with 1H so you do not have to bid. However you have 9 HCPs (you should only bid if you have >8 HCPs) but you do not have a stopper in hearts so cannot bid 1NT. You should bid 2C.