Some new RBIBDs with block size 5 and PBDs with block sizes ≡1 mod 5

(v,5, 1) RBI BDs were known to exist for all but 109 values of v == 5 mod 20. Solutions are given for all but 6 of these. Also given is a new (45,5,3) RBIBD plus some new incomplete TDs, 14 new (v,6,1) BIBDs and some new PBDs with K = {6} u {Prime powers == 1 mod 5}.