For 1099s that I didn't receive or that I have lost. Can I get what the IRS has on file?

You can always contact the institutions that issued the W2's and 1099's and ask for copies, but for tax year 2014 many institutions have not yet released these documents, so it's premature. For previous tax years you can request a transcript of your IRA activity for whichever year you are interested in, which would include this data. See: Get Transcript