If you are a US Citizen and at least 21 years of age, you may petition your mother to immigrate to the US. You need to hire an immigration attorney to clarify any admissibility issues for you directly.
You can file for naturalization 4 years and 9 months from the date you were admitted to lawful permanent resident status and 2 years and 9 months if you are married to a US Citizen. Attorneys fees vary, so consult with a few to get an idea.
If there is a warrant out for you, you very well could be refused admission and/or detained. Neither the consul nor the DHS will be interested in why the ticket was left unresolved, so you should consult with a criminal defense attorney in advance to clear this up.