Your 4th lance is a bit split on speed? 5/8, 5/8, 7/11, 13/20 Bit hard on the faster ones that need speed to live- also might think of the -1L Gambit for fast TAG.
Getting the Anzu? FYI its supposed to come with parts to make both versions IIRC.
You might want to look at what Omnis the League gets to try to bundle 4 in a lance so you can mount some BA to keep up with your mechs- so besides things like the Sunder, Avatar, Blackjack, Firestarter and Men Shen salvage/purchase keep in mind you can have some Clan equipment in the 3130s or later.
Unless these are minis you are locked in, IMO you might throw out the Falcon Hawk & Hammer while moving the Cronus and Havoc into that 4th Lance. A good Omni lance for you might be that Perseus, Vulture Mk IV, Sunder and Blackjack which allows you to carry along some the the neo-League's good BA.