Heat pumps. Who's using them?

Hi. My home has a heat pump with an 80% efficiency gas furnace as auxiliary heat. We live in an 1800 sq ft 3 br home. Our utility bills this winter (PSEG) were 300 to 400 for each month, noticeably higher than last year. I believe my cutover temp, from heat pump to gas is 40 degrees. The pump is Daiken and furnace/blower is I believe Goodman. I’m hazy on details but can ask my husband for more. This system is 5 years old.

We set the thermostat to 71 degrees 24/7.

Here are my questions:
1. Is 300 to 400 reasonable in winter? I thought these things are supposed to be more efficient but the bill seems to grow every season.
2. Is it worth paying for an hvac company to inspect and service my unit?
3. Would a conventional gas furnace have been a better choice when we replaced our old unit 5 years ago? Both of us were won over by the hvac company’s claims that a pump is more efficient and comfortable.

Here is February’s bill:

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