Problem Corner

Thanks to Brian Stephenson, all problems are from  from the 12th International Solving Contest held in Sheffield on 24 January 2016.
(Solutions are here)

(Easiest at the bottom!)
No engines, now!!

Category 1 (Most difficult)

 Round 1 Number 1:
White to move and mate in 2 against any defence
Composer: Marjan Kovacević, Original for ISC, 2016

Round 1 Number 2:
White to move and mate in 3 against any defence
Composer: 2. Godfrey Heathcote, 1st prize Natal Mercury, 1918

Category 2

Round 1 Number 1:
White to move and mate in 2 against any defence
Composer: Arnoldo Ellerman, 3rd prize American Chess Bulletin, 1921

Round 1 Number 2:

White to move and mate in 2 against any defence
Composer: Dieter Hanslik, 3rd commendation Freie Presse, 1976

Category 3

Number 1:
White to move and mate in 2 against any defence
Composer: Charles Promislo, 3rd prize American Chess Congress Meredith Tourney, 1921

Number 2:
White to move and mate in 2 against any defence
Composer: Herbert Ahues, 1st commendation Main Post, 1962