No. Individuals don't press charges. The state of Arkansas presses charges. Typically, once the police are called it is out of the victim's hands to decide whether or not charges are filed. If the victim of a crime want's to stop the state from pursuing charges against someone he/she cares about he/she can let the prosecutor know that they do not want to cooperate with the prosecution, but ultimately it is the prosecutors decision whether or not to go forward. If you are the one charged...
The age of consent in Arkansas is 16 years old. There are exceptions for people in place of trust or authority over the child that can raise the age of consent, but generally speaking it is 16 years old.
Most likely he will receive 1 point for the 1 felony conviction. Consult the guidelines set out by the Arkansas Sentencing Commission if you are wanting to verify with 100% accuracy. Those guidelines are available online in PDF form. A Google search ought to get you where you need to be. Good Luck!
If they have charged it as a "C" Misd then your exposure is 30 days jail. If it is an "A" misd then your exposure is 1 year in jail. You should really consult a lawyer about how this may affect your child. Good luck.
It is very unlikely that the police would contact your work. The have no authority to "tell" a private employer to drug test you. However, if you are questioned by the police about this in the future you should decline to talk to them and ask to speak with an attorney. Good luck.
Maybe, or maybe not. Probable cause is a complicated issue. You need to hire a lawyer to challenge the search warrant at a suppression hearing. Whether or not probable cause existed to issue a warrant is not a question that can easily be answered over the internet.