Being such that the Evod VV Twist battery (Ego Twist VV Stick Class) is so old, could be the stock was so old that the vendor you bought them from had them so long the battery might have aged itself to not be useful. Kanger Evod batteries used to be pretty reliable units, though that was about 2 to 3 years ago. Being you stated that it "Supposedly" finished charging, USB nub charger light is green and the Evod battery light is white, might test it out the next couple of hours, a mini Protank 2 or Protank Mini Ver1 with a 1.8 to 2.2ohm coil, assuming numbers here, every 100mah should equal about 1hour of light usage, 3/4 hour median usage, 1/2hour heavy use. 650mah should equal 3 to 6hours on a charge, 900mah 4 1/2 hours to 9hours on a charge, 1100mah should equal about 5 1/2hours to 11hours of usage used to be the rule of thumb with Ego classes, so I will say as a disclaimer, on a 650mah if you are chain vaping, it should last you about 2hours at least on a charge, and if you are not getting at least 4 hours light use (couple puffs every 20 to 30minutes each vape cycle) on a 650mah or 6hours on an 1100mah, the battery is just to old.
Depending on your region of the world, I am in the US, if you are looking at the same small form factor here are a couple more recent models to look into, more updated and modern technology.
The Evod is a Kanger product, they have an updated version called the "TopEvod" which uses the Protank 3/AeroTank dual coil heads ->
Kanger TOPEVOD Starter kit
Top fill instead of the bottom feed of the PT Mini you have.
The Next device to look at is another all together kit that is an excellent inexpensive starter unit is the Joyetech Ego AIO (All-in-one)
www.joyetech.com/product/ego-aio/
Top fill as well, the battery and tank are all one unit
Third suggestion would be the Innokin Endura T18
Endura T18 Vape Pen - Innokin
Much like the previous 2, all inclusive kit designed for beginners and mouth to lung vaping still with higher nicotine content liquids (12mg (1.2%)/ml and higher)
Like the Protank Mini, you can also look into just a new battery unit /w a 510 to Ego Thread adapter.
Eleaf makes a couple great compact high mah units in the iStick30watt and iStick40wattTC, both are Variable Voltage and Variable Wattage (Same principle, VV is like the twist dial you use, manual stick shift, VW is like setting a speed limit (the watts) in a cruise control on a car, and adjusts the voltage (throttle) by itself depending on the resistance it reads on your tank (going uphill or downhill on a road), with large battery capacity so can last a day (heavy heavy usage to 2 to 3 days (light usage)), and come with the necessary adapter, though pair well with an Aspire Nautilus Mini.
