Thanks for using Justanswer.com!
1.) Correct. When a payor gives you a 1099-MISC rather than a W-2, you become responsible for all Social Security and Medicare
tax associated with that income. For the remainder of 2012, the Self-Employment tax (SS and Medicare) rate is 13.3%. The rate jumps back to 15.3% on 1/1/13.
2.) From a tax standpoint, unless your LLC has elected to be treated as a S-Corp, it doesn't matter if you take the 1099 under your LLC or under your own name. You will (most likely) pay the same in income and self-employment tax.
3.) As far as I know, it is perfectly acceptable to include the work done in your own business on a resume. The most acceptable employment title for this situation on a resume, would be "owner" or "managing member".
If there are any other questions or concerns, please reply to this answer so that I may assist you further.
If this answers your question, please rate my performance between OK and Excellent so that I may be paid. Thanks again for using this site.