Try downloading the free trial of Premiere Elements 14 and see if you get different results for it.
Elements Organizer 188.8.131.52
Core Version: 14.0 (20150827.m.80115)
Language Version: 14.0 (20150827.m.80115)
Catalog Name: My Catalog 1
Catalog Location: C:\ProgramData\Adobe\Elements Organizer\Catalogs\My Catalog 1\
Catalog Size: 111KB
Catalog Cache Size: 44.1KB
Operating System Name: Windows 7
Operating System Version: 6.1 Service Pack 1
System Architecture: Intel CPU Family:6 Model:10 Stepping:7 with MMX, SSE Integer, SSE FP, SSE2
Built-in Memory: 3.9GB
Free Memory: 851.1MB
—No "Important drivers/Plugins/Libraries Info"
So does version 14 give you different answers to your questions?
Question 1: Why PE11 System info Windows 7 is not a 64-bit?
Question 2: Why PE11 System info DirectX Version is not 11?
Version 14 give me System info without drivers/Plugins/Libraries & DirectX Version Info.