With regard to the issue of custody, since your spouse is away for long periods of time, it seems reasonable to assume that a judge would award you residential custody, assuming there are no other issues involved.
And if you two are able to continue to communicate, the Court would allow for joint custody ( meaning you would both have to consult each other on major decisions affecting your child like schooling,
Medical issues, religion, etc.)
If you are awarded residential custody, your spouse would have to pay child support to you.
With regard to spousal support, the Court would look at the incomes of both of you and your style of life during the marriage,
Ask you both to prepare a Statement of Net Worth and decide how much and for how long you should receive such support.
This could all be done by mediation, rather than litigation at a much less expensive cost, with less tension and grief.
If you are located in the NYC metro area, call me at 212-370-1660 to arrange for an appointment to discuss the matter further.
Leonard Weiner, Esq.
206 East 38th Street
New York, NY 10016