Here is list of assignments

L85A2
Assignment: Open Fire
Assault ribbon x3
Get a kill with a pistol in a round
Get a kill with 40mm grenade in a round
Get a kill with the defibrillator in a round

L96A1
Assignment: Need Only One
Sniper ribbon x3
Get a kill with a shotgun in a round
Get a kill with a DMR in a round
Get a kill with C4 in a round

MTAR-21
Assignment: Multitalented
Get a kill with an AR
Get a kill with a LMG
Get a kill with a Sniper Rifle
Get a kill with kill with a grenade

RPK-74M
Assignment: Powder Keg
LMG ribbon 3x
Get a kill with the M224 Mortar

MP7
Assignment: Make A Dent
Destroy an air vehicle with portable AA
Anti Vehicle Ribbon x3