wife refusing to stay with me

If your marriage was performed under Muslim religious rites and customs, you can decide about pronouncing talaaq as per the Muslim personal law. About custody of child , yes you can apply in common law along  with it you can also file an IA for visitation rights to visit your child.  She can claim maintenance u/s 125cr.p.c., however, since she is employed, she may not be eligible for maintenance for herself, but child will be eligible.