I do not know what accelerators are looking for. I can give you an investor's perspective.
First, as stated above. Going forward, separate your business and personal expenses. Temporarily, simply set up a second personal checking account. Separation is more important than the type of checking account. Prior to investment you will need a formal business structure (usually Delaware C corp) and business accounts.
Second, financial statements and financial projections are two different things. I will address financial statements. Financial statements are a "three-legged stool" made up of a balance sheet, P&L, and a cash flow statement.
Balance Sheet. Simple is fine. I look for unpaid bills and other liabilities. Does it look like everything was included? I once received a balance sheet that showed a $1 million debt to the entrepreneurs. Believe me, I make investments to fuel the company going forward NOT to have entrepreneurs peel off $1M for themselves personally. Needless to say, I passed on this deal.
P&L (historical not projected). Early company won't have much. As the company matures, one can look at margins, how money is spent, and where revenue is being produced (among other things).
Cash flow. The balance sheet, P&L, and cash flow are a "three-legged stool." You need all three to ensure that your financials balance. In financial projections, cash flow projects the most critical date for the company--when it runs out of cash.
Financial statements show that the entrepreneur knows basic business practices and practices good business hygiene (get those personal and business expenses separated ASAP!).
Hope this helps.