I think this is micro management in the extreme and unnecessary in my opinion. When a course of action is agreed at a meeting, it would be quite reasonable to expect your clerk to report on progress at the next meeting and even sometimes to provide a timesheet but you should expect your clerk to be capable to managing his or her time to achieve the objectives set including working around annual leave commitments. If a clerk is unwell for an extended period, most councils would consider engaging a locum for example. Most councils would ask that the clerk provide access to electronic records etc. via a password provided in a sealed envelope held by the Chair to be accessed if/when the clerk is incapacitated. As an individual, councillors cannot place orders or commit the council to a contract (check your financial regulations and standing orders).
The council is responsible for ensuring you have policies and procedures in place, albeit that I would expect the Clerk to advise and perhaps provide drafts for consideration. Failure to do so (with a couple of exceptions) will not invalidate your insurance and your insurance certainly won't be invalidated by failure to produce a document retention policy much of which would be dictated by law rather than the will of the council.
The Good Councillors Guide, available on the NALC website, might be a good starting point to identify what your responsibilities as a councillor are.