Need help with maximum safe load on a C10 battery in a Solar power system
You will drain about 23Ah from the battery.  This shouldn't bother a 150Ah battery much.  It's more than the panel can generate, but then that's the whole point of adding a big battery to the system.

1HP is also about 750W. So if the soft start is soft enough that the inverter will handle it, then the same applies.  But running motors from inverters is tricky.  They tend to draw a big surge current when starting.