The Satlook Micro only switches on if the battery has some power left. Even if it is at the end of its life, if it can hold a little charge, it will power on the meter and then the power brick will keep it alive. If you remove the battery or if it is completely dead, the meter won't start.
You can easily buy a new battery pack on AliExpress for 12 Euro (
8.59£ 30% OFF|( X Model ) 12v 1800mah Nimh Battery For Rc Toy Car Tanks Trains Robot Boat Gun Ni-mh Aa 1000mah 12v Rechargeable Battery 1pcs - Rechargeable Batteries - AliExpress) with free shipping.
Note that the connector is wrong and has only two wires: that is because the thermal probe is missing. You can use the one in your dead battery. Just place it at the same spot under the shrinkwrap and then transfer the old connector to the new battery.
I think that is the cheapest way to get you back up and running.
Being able to support DVB-S2 transponders is nice, but, in my experience, not fundamental: the Satlook Digital NIT's main functionality is the rerally fast spectrum display and resolution, together with the DiSEqC-1.2 support.
I have both the Satlook Color and the Satlook Color HD. While the HD is certainly better in being able to lock to DVB-S2 transponders, show the constellation and identify NIT/channels, you would be able to perfectly align the dish with the non-HD model.