No. Vivo V11 Pro does not have the EIS support.
Yes, Vivo V11 Pro does have the face unlock support.
Vivo V11 Pro does support the fast charging. It takes just about 30 minutes to charge from 0% to 42% and about 60 minutes to charge the battery from 0% to 80%. You need to use the supplied original charger for the best results.
Yes, you can purchase Vivo V11 Pro via without credit card option. Check out this video - this will help you to understand the whole process.
The Vivo V11 Pro is a solid all-rounder at Rs. 25,990 and offers better value than the Oppo F9 Pro (Review), but for a bit more money. Think of it as a Vivo X21 with a bigger battery and better front camera, but at a much more reasonable price, which is a good recipe.