So, let me see if I get the company creation rules right:
You start off with 88 people.
1 CO (rank: OF-2, Captain?), -1 Gunnery, -1 Piloting, 2 skill points randomly between Leadership, Tactics and Strategy (those that don't have a skill point are skill level 0, not "missing", right?), set the "Commander" flag
3 officers (rank: OF-1, Lieutenant?), -1 Gunnery or -1 Piloting, whichever is higher, 1 skill point randomly between Leadership, Tactics and Strategy. Since we're talking three lances here, I set up two as Lieutenants SG in charge of one lance each (Bravo and Charlie) and the third as Lieutenant LG in the commandant's (Alpha) lance.
9 enlisted MechWarriors (rank: OR-6, Sergeant?)
10 'Mech technicians (rank?). I set up the head technician as OR-8, Master Sergeant, two as OR-4, Corporal, and the remainder as OR-2, Private. The OR-8 and the two OR-4 are in charge of one "support" infantry platoon each.
1 doctor and 1 admin (random type: command, transport, logistics or HR). Right now they are all OR-2, but I have the feeling the medical corps should have higher ranks ... possibly officer ranks even, I typically see them as OF-2 level, but then MekHQ puts them in charge of the "support personnel" infantry platoon instead of the OR-8/OR-4 technician. I'll probably need to reconfigure it so that the medical staff has its own five-person squad ...
60 astechs (rank?), 4 paramedics (rank?), possibly all OR-1, Recruit.
All grouped in 3 'Mech lances and 3 (support) infantry platoons (and possibly a medical "infantry" squad).
So - is that about what such a company looks like as-written? How are you interpreting the current AtB rules?