Pregnant after period?

[bakingmummy21]

Wondering if anyone else has had this and looking for advice!
Came off Cerelle 7 weeks ago with a view to TTC again, was waiting for first period to track cycles but in the meantime not using protection. First period came 2 weeks ago, fairly normal maybe a bit heavier than usual. Went to test for ovulation this week and was getting continual positives so did a pregnancy test which is positive. Due to the dates I can’t have conceived since my period, it must have been before so I’m wondering is this a chemical pregnancy or MC? But if so it would have been very easy so why is my HCG still high? I don’t feel pregnant but the test is very clear. GP just said it’s possible to still be pregnant but wouldn’t refer me for a scan, just said I should test again in a few weeks. Has anyone else had this?! Considering paying for a private scan but as I am struggling with the dates I don’t want to go too early and then be stressed if theres no heartbeat 😬