Hey welcome to the forum.
First things first, beware the terms, hub and Tempest are the 2 parts making a tempest system (yeah I know, not easy), below an image so it is clear. This to be sure we both talk about the same thing
The hub’s led normally stays lit (different colours possible), the led under the Tempest blinks a few time during booth and normally goes dark.
In your case the led won’t answer your problem. Look at the voltage of your Tempest. Since you started up the station it hardly saw any sunlight (grey dull days ? Shade ??) and the few times it did it was a very very short period. In short your battery is depleted.
Is it possible to move the station to a place where it gets more direct sunlight till longer days are back ??? This page in the help center talks about it in more depth. And since you’re there, have a look at the other sections, it might help you in the future.
Your forecast doesn’t show long periods of sun to come for at least a week … I know this is a bit extreme but if you have some led flood light hanging in the garage, you can use it to charge artificially your Tempest and it’ll run again for +/- 10 days. This post talks about it.
And hopefully soon the power booster in development will finally see production (worldwide disruptions due to Covid have been pushing it back). A device you will be able to link to the Tempest to feed it external power via extra batteries or wall plug.