XS Max Screen not responsive when typing fast and No faceid

Sounds like you may have purchased a refurbished device. Did you get it from a vendor/retailer or second-hand online?

As one of Apples “security features”, anytime a biometric sensor is damaged or replaced, it will be disabled by software on the phone, preventing it from working again. Only Apple is able to reinstate the FaceID or TouchID on a device that has lost functionality of it.

Starting from the iPhone X and above, Apple has been using 120Hz touch sampling screens. This means that 120 times every second, the phone will update to see if you’re touching it or not. With such a high refresh rate, we can type and touch on the screen incredibly fast and still feel the responsiveness you’re used to. Unfortunately, it appears the device may have been fitted with an aftermarket (non-genuine) screen with only 60Hz touch sampling. 60Hz touch sampling is not bad and was the standard for iPhones up until the iPhone X, however, if you’re used to 120Hz rate and then decrease that by 50% it’s definitely gonna feel much slower and unresponsive to touches.

This is only speculation, but I’m going to guess that the original phone was either taken apart and used for genuine parts, or was purchased as damaged and then repaired with the lowest quality parts and sold as genuine to make some easy money. At this point you should try to return the device and get your money back, or if you’re up for it, you could replace the screen yourself with a genuine 120Hz touch sampling screen. Unfortunately there is nothing you can do about the FaceID. Apple may be able to reinstate it if you took it to them, however if the device has been opened and worked on by a third-party, they won’t go anywhere near it.