Do I lose my Apple Music downloads if i cancel my Subscription?

No. You only have access to the Apple Music songs, even if downloaded, while you have an active subscription.

If you purchase music through the iTunes Store, the rights to that music do not expire. See: Buy music from the iTunes Store on your iPhone or iPad - Apple Support

No, if you cancel your Apple Music subscription, you can't keep the songs you've downloaded. You can only access them while your subscription is active. When it ends, you lose access to the downloaded music.

I am unable to Buy Apple Music Subscription