iPad 1st Gen boot Loop recovery mode not working with PC

As described, your iPad battery may have reached the end of its usable life. If the battery has failed, the iPad will not successfully boot to a running state - even when connected to its Power Adapter:

iPad Repair & Service - Apple Support

If you have a first generation iPad as suggested by your post - and is still using its original battery - it is almost certain that its battery has failed.

These support pages should help with troubleshooting battery and charging issues:

Charge and monitor the iPad battery - Apple Support

If your iPad won't charge – Apple Support

Troubleshooting generally requires substitution of the Power Adapter and cable for another known-good item. Most models of iPad require a Power Adapter rated at 12W or greater to reliably charge. 5W Power Adapters intended for older models of iPhone are inadequate to charge an iPad; if the iPad charges at all, charging will be very slow.

Be aware that many computer USB ports cannot source sufficient power to charge an iPad. Unless explicitly designed for charging connected devices, computer USB ports are typically limited to 0.5-1A @5V (i.e., 2.5-5.0W).

If you continue to experience difficulties when using an appropriate Power Adapter of 12W or greater, you might be best advised to visit the Genius Bar at your local Apple Store or Apple Authorised Service Provider (AASP) - where the technicians will be able to assess your iPad:

Genius Bar Reservation and Apple Support Options - Apple

You're very welcome.