Eway bill

Yes... E-Way Bill is required if value exceed as per Your state's limit...
You can move with delivery challan...

Yes e way bill is required if the value exceed 50k.

Yes you can make E-way on Dilivery challan

Use delivery challan for stock transfer of goods. eway bill is also needed if goods value more than 50K* and movement of goods in motorized vehicle.

Generation of E-way Bill is mandatory when your Consignment Value exceeds ₹50,000 and is moved by a Motorised Conveyance for both Inter and Intra State Movement of Goods and Services.

And as far as Stock transfer is concerned from 1 branch/godown to another then generate E-way Bill with a DELIVERY CHALLAN...