So your offer was accepted. There is a lot of discovery you must make about the property. It is a must to meet with your lender and provide a copy of the deposit receipt and an application along with all the other documents needed. You must verify your down payment with the lender. Do not make any large purchases prior to checking with your lender as it could effect your ability to qualify.
Lenders check credit and deposits the day prior to close of escrow.
You must contact an insurance agent and demand a written commitment of insurance. Most insurance agents will need several contacts and demands from you before they provide the written commitment. Insurance has become a challenge in many cases and must be a priority. We must find professionals to make all the necessary inspections of the property. I will only mention some of the more common inspections here.