I was getting both of these with a prior version of AVP (version 3.1.3E) on KSP 1.3 (latest release on Steam). After a lot of trial and error, I found the issue was related to using 8K cloud textures. When I dropped down to 4K textures, the problem disappeared completely. I just installed the latest version this morning and used the 4K textures and haven't seen the issue. I tried the 8K textures again and it crashed my computer hard. I have a fairly beefy rig (dual EVGA 980 TI's SLI'd, 64 GB RAM, etc.), but am running 5760x1080, so I think the 8K textures were just too much.