Hello, i advice you to try 21/18 built (lvl 31)
6 wm, 6 ath, 7 ps, 5 shield and 2 if or 2 riding if you want to go lvl 32 and put 3 more riding (if it's your final built).
You can also do 18/18, which is a very good built for 1h cav (i had this one before).
As far as weapons are concerned, i would advice you to take nordic champion or knightly arming sword. Of course, you can take weapons for begginers or non skilled players like steel pick or spamitar, but you won't "learn" and improve your skills with such weapons.
EDIT: There is also the iberian mace which look pretty efficient if you like blunt damages and know down, but i ve never tried it so i can't say if it's a realy good weapon ^^ (but it looks nice :p)