If you've never done any database programming then stay away from Access (or any other database) because database programming requires some actual expertise, unlike spreadsheets and word processors where you can generally "wing it".
I'm guessing you're part of some maintenance or subpart G CAMO - until you get to really large organisations the best approach I've seen is simply to define the calibration requirements as maintenance schedules and then record the affected tools & test eqpt as items in the same system you use to manage the3 maintenance requirements for aircraft/engines etc. Calibration is really just a scheduled (preventive) maintenance task, and doing it this way allows the full record plus allocation of authorities, filing of certificates and recording of controlled procedures with a system that everyone should already KNOW how to use. It also allows the chief engineer (or whoever) to sign off a 24 hour extension if urgently needed, together with his/her justification for doing so.
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PDR