Actually, it looks worse for you, sorry, but all this "fluff" talk of you getting rights terminated doesn't sound very logical.
Parental rights may not be terminated without "clear and convincing evidence."SANTOSKY V. KRAMER, 102 S.Ct. 1388 (1982)
Visitation (parenting time) is a constitutionally protected right which can be protected in federal court, even if father is in prison. MABRA V. SCHMIDT, 356 F.Supp. 620
I just ain't buying into it.
Mother cannot take child out of state if that prevents
"meaningful" relationship between father and child. WEISS V.
WEISS, 436 NYS 2d 862, 52 NY 2d 170 (1981) See also:
DAGHIR V. DAGHIR, 82 AD 2d 191 (NY 1981)
MUNFORD V. SHAW, 84 A.D. 2d 810, 444 NYS 2d 137 (1981)
SIPOS V. SIPOS, 73 AD 2d 1055, 425 NYS 2d 414 (1980)
PRIEBE V. PRIEBE, 81 AD2d 746, 438, NYS 2d 413 (1981)
STRAHL V. STRAHL, 66 AD 2d 571, 414 NYS 2d 184 (1979)
It appears you did just that. The father shouldn't be punished because of lack of access to the child. Were it would appear as thought visitation was denied, or at the very least, it was made nearly impossible:
Custody can be changed if visitation is denied. ENTWISTLE V. ENTWISTLE, 402 NYS 2d 213
Either parent can sue for interference with parental rights. STRODE V. GLEASON, 510 P.2d 250 (1973); Prosser: HANDBOOK OF THE LAW OF TORTS (West Publ. 1955) page 682; CARRIERI V. BUSH, 419 P.2d 132 (1966) SWEARINGEN V. VIK, 322 P.2d 876 (1958) LANKFORD V. TOMBARI, 213 P.2d 627, 19 ARL 2d 462 (1950); 7 F.L.R. 2071 RESTATEMENT OF TORTS section 700A MARSHALL V. WILSON, 616 SW 2d 934
As far as the child support, that's a no brainer, When you left the state and removed the child, he had no obligation:
Children must be returned to home state before child support payments are continued. FEUER V. FEUER, 376 NYS 2d 546 (1975)