connecting different battery in series
If I read your cartoons correctly, (real schematics are much preferred), it appears that you have the 1.5 volt cells in parallel with the 9 volt batteries.  This is Very Bad - there is no telling what the actual voltage will be, as the 9 volt battery will try to charge the 1.5 volt cell, while the 1.5 volt cell tries to pull the 9 volt battery down to its own voltage.

LEDs must always be used with a series current limiting resistor - there are lots of questions about this on this site, and there are web sites that will calculate the resistor value for you.

Red LEDs typically have a forward voltage of about 1.8 volts - you need to supply a higher voltage, through a current llimiting resistor, to get them to light.  Other colour LEDs require higher voltages, up to 3 volts for blue and white LEDs.