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I would like to start online paid medical consultation. What i need is membership plugin which offer membership of 15 days or 30 days. I know most of the memberhip plugins like amember etc can do it. But i want to do the consultation through support ticket system. the client should able to open ticket. so which membership plugin work with correctly with this ? (wordpress is preferred as base as i have wordpress blog on same domain home).

Also is there any plugin which can deal with credit system, the client/member should able to purchase credits. and each credit one ticket or one question can be asked. If you have better suggestion please tell me. As i dont have investment for this, can't go for custom coded script.

Hey, I don't know about credits.
But, you can set up a membership site with any WP membership plugin, and also install BBPress or a question/answer theme (http://themeforest.net/item/ask-me-respo...ew/7935874 or http://themeforest.net/item/knowledge-ba...earch_list) and restrict these pages with the membership plugin.
You can set the membership duration or remove the members manually after the time you have agreed.
Paid Memberships Pro is a free solution. I use it as well.
Also You can create single paid products (with Easy Digital Downloads for free) and the exchange emails with the patient or consult on skype.
Also, you may use this service https://clarity.fm/how-it-works to charge your clients for calls.
I hope this helped. If not give me more info on your needs.
Eleni