How to deal with extreme fears of losing my baby?

Re

Last March I had a mmc of an unplanned pregnancy. Me and my partner later decided to try for a baby and fell pregnant 2 months later. Pregnancy felt like hell to me. I was petrified of miscarriage, stillbirth and preterm labour.

I did end up going into premature labour at 34+4. My baby was in nicu for 1 week and special care for 2 weeks and is now back home and 7 weeks old today and is doing great.

I’m still crippled with fear I’m going to lose him though. Despite how rare it is, I’m terrified of cot death. I panic if he even coughs or cries really hard as I’m scared he’ll stop breathing. im scared of him overheating or us being in a car accident. When I walk by people when he’s in his pram I’m scared he’ll get kidnapped.

Iv always had fears of losing loved ones even though I know some ways its inevitable. It doesn’t help last week I took my cat to the vets for a minor problem. She ended up having a heart attack on the vet table and died in front of me within seconds. This has almost confirmed to me that these irrational thoughts could happen.

Is this level of fear normal or should I speak to my doctor about it?

Thankyou