Welcome to Money.SE. Please take a look at the recent question, Why buy insurance?. Much of the discussion of risk applies to this question as well.
The numbers look like your mortgage is closer to 10% of gross income. Life insurance in your case is a personal decision. In my opinion, life insurance should be to help loved ones left behind not experience financial trauma. The single wager earner dies, and leaves a non-working spouse with 2 toddlers and a mortgage? Trauma. Your situation? Not so much.
You should start to plan your mortgage needs based on the kids you expect to have. When running the numbers after we got married, we had a house that we each couldn't afford alone, and were planning a child that would go to college. If I were you, I'd look at the worst case numbers, and price out term that will cover your planned children, but perhaps not buy the policies until the first one is born.
House contents is purely up to you. You should ask your insurer what contents insurance for fire/theft will cost. Some people are minimalists, and can replace their entire furniture collection with a single paycheck. Others love there $10K leather sofa. If, as you suggest, you can self-insure contents, and would lose too much sleep repurchasing the contents after the house is re-built, that's fine.
To answer the original question - Term insurance. I'd never buy a policy tied to a loan balance. To clarify - as time passes, the mortgage payment is less painful, its real value dropping with inflation and your salary increases. But the very fact that you are earning more, and more valuable to your spouse and children points toward needing more insurance, not less. An the house, while it's great to kill that mortgage, has higher property taxes, along with higher maintenance costs as things need a round of repair or renovation. The need for insurance is more of a step function, and the use of multiple term policies can be timed to give you the right coverage depending on the stage of your life.