Sorry if this reads like Granny sucking eggs and all that ... but:-
Your post contains lists a whole list of "things that require improvement"!
First of all (and rather obviously) you need more manpower. If an increase in the number of techs is not on the cards, then you need to prioritize your work (the work of your team). It's nice to be able to PM 100% of your kit (equipment dependency), but in the Real World some (often many) of the "lower risk" items get passed over year after year (usually without ill effect - or indeed, anyone noticing).
Some items need only be repaired (or even, discarded) when they fail. Many of the items you list come into this category (mobility aids et al ... and [some may argue] nebulizer compressors and other "community" equipment).
Regarding the organization of your Loan Store ... well, there have been many threads on here about this over the years.
But (picking out bits from your post), it needs to be staffed by competent folk, and someone needs to be there in charge whenever the store is open for business.
Yes; ideally there should be a database system - but MS Excel will probably do - or a simple log book (logging in and out) if nothing else.
The Loan Store staff need to be able to check kit being returned for damage and report faults where necessary. Faulty kit should be set aside and not re-issued; there should be absolutely no excuse for duff kit leaving (being issued out from) the Store.
Issuing and Receiving store items is hardly Rocket Science. Such work (sometimes involving really expensive and/or "sensitive" gear) was handled without two many problems by the "lowest of the low" back in my army days ... as long as someone more senior carried out stock checks from time to time.
To be honest, it reads like your management needs to get a grip, and either increase your manpower or train up your Load Store staff so they may carry out their tasks efficiently (probably both).
I would suggest that all these points come under Policy. That is:- Management Policy and/or Directives. Surely your Hospital (and, indeed, your Biomed Department) have these ... you know "Quality Systems", Job Descriptions (ie:- for the Loan Store staff), annual review of policy documents, and all that Good Stuff?
