You DO accrue interest in unsubsidized loans during periods of deferment (except during this federally mandated interest pause, which will eventually expire). It’s only paused on subsidized loans (including Perkins) during deferment. OP has unsubsidized loans, because the total exceeds the sub loan limit.
As far as consolidation is concerned, it’s typically not necessary. Consolidation can end up costing you more in the long run. I would generally recommend against it, unless you have Perkins loans that you want to consolidate into a Direct loan … but even then, I would recommend not doing that if you can possibly pay the standard payment on the Perkins loan. This is because your consolidation loan will have an interest rate that is a weighted average of the interest rates of each of your loans. Perkins loans have a low interest rate, which can end up increasing due to consolidation. You might also need to consolidate in order to make all of your loans eligible for PSLF (FFEL & Perkins loans would need to be consolidated into a Direct loan to qualify).
This is a really good explanation, straight from the source: Federal Student Aid. I would recommend checking out what would happen if you were to consolidate, based on your loans. I don’t know if the federal website has a calculator that allows you to log in & automatically populate your loans. You can log in on the link I am providing to the demo, and you can poke around for a loan consolidation calculator. In any case, you can use the federal consolidation calculator demo, but you will still need to log in to find your loan information so you can correctly populate the calculator: https://studentaid.gov/app/demoLoanConsolidation.action#!/demoConsol/1#%2FdemoConsol%2F1.