BMW only covers oil change every 1 year or 15k miles (so after 1.2k miles service, it's going to be 16.2k miles for your next "free oil change" as part of inspection I).
Most of M owners do one more oil change every 6 months or 6-8k miles at own expense.
So the answer is NO, they'll not cover unless you hit 6k miles at exactly 12 months later.
X5M: Dinan Exhaust | Dinan Suspension | Velos Tune | BMW Perfomance Splitter | Lux V4 | Euro Mirrors | H&R 12/25 mm Spacers | IND Cosmetic Package
PAST: 08 E90 M3 | 08 E92 335i | 03.5 E46 M3 | 99 E36 M3