Battery quick drain and not full charge

Your battery is most likely at the end of its life. To be certain, use a battery utility, such as coconutBattery (for Mac) or 3uTools (for Windows). Anything less than 70% of design capacity will require replacement.

You can also use the Battery Health Diagnostic (Settings\Battery\Battery Health (Beta)) in iOS 11.3 and above. It will tell you what the health of the battery is. Once the battery reaches below 80% of design capacity, iOS will throttle performance if the phone experiences an unexpected shutdown. You can read more about this at the following Apple Support page (https://support.apple.com/en-us/HT208387).

If you have access to a USB Ammeter, you could use that to determine if the phone is really drawing current when it says it's charging.

Be wary of cheap replacement batteries and order from a reputable vendor. Take a look at this guide to see what is involved before attempting this repair yourself.

EDIT

You will need to isolate some variables in order to get a better understanding of what is wrong. The problem could be a bad replacement battery, excessive current draw from one of the modular components (camera, button, screen) or it could be a problem on the logic board itself.

Here are some things to try:

It could be a bad replacement battery; there are lots of cheap batteries on the market.

• Try replacing with a known-good battery or order a good one from here.

You could have excessive current draw from one of the modular components; for example, the backlight, a camera or a sensor. You may notice a hot spot on the phone or screen.

• Fully charge the battery first.
• Disconnect the battery and then disconnect one modular component at a time to see if you can determine which part is bad. I would start with the front camera flex, then the rear camera, then home button.

If that doesn’t make a difference, then you should try to disconnect the screen to see if it’s the screen or the logic board

• Disconnect the battery, then disconnect the flexes for the screen assembly, buttons and cameras, leaving only the Lightning Dock connected to the logic board (follow these guides). When you are done, re-connect the battery.
• Go back after an hour or more and test the condition of the battery. You will need to download either coconutBattery (Mac) or 3uTools (Windows) to see the battery condition.
• It could also be the Lightning port so you could try the same test as above but with the Lightning port disconnected once the battery is charged (connect it back to test the condition of the battery).

You may have a damaged logic board. This will require a micro-soldering repair and is not DIY. Drops, bends, water damage or using poor quality charging bricks and cables, can cause this.