Do u think that acceleration can influence time ticks inside a molecule.
Certainly. Everything is affected, right down to the sub-atomic level.
BTW the geostationary satellites, do ticks slowdown or speedup above there ?
They slow down. The GPS satellites have to be continually updated to make up for the microseconds that they loose. Enough is lost to affect their accuracy if they aren't. However, those (no need for names) that refuse to accept time dilation as a very real event probably don't believe this fact is true either.