Connecting local Bank through Paypal.com
No. PayPal is not yet operating on other countries and included on the list is the Bangladesh. So there is no way you can use PayPal if you are residing in Bangladesh. But if you know someone from US, you can try the following:
1. Ask him/her to open a PayPal account from US. Register a Gmail or Yahoo Email Account.
2. Use this PayPal account to accept payments from your clients.
3. From PayPal, transfer your earnings to your friend's account in US.
4. Ask your friend to transfer your money in Bangladesh using any Money Transfer method such as Western Union and more.
Connecting local Bank through Paypal.com
Yes can do this, you just need to enter your account no there. They will verify your account no. Afterward you will able to add or withdrawn money from your PayPal account to your bank account. For more information How PayPal Works – PayPal