What he's running from should be in the 2nd line.
The rest you're overthinking.
Look at Runaway by Del Shannon and California Dreamin' by the Mama's and the Papa's.
Did you listen to Never Wanted Your Love?
Over-thinking is sometimes what songwriters do, because most people don't think at all. Do I like "the twist"? Sure. But it doesn't mean anything to me. There are fun songs, silly songs, satire songs, emotional songs, etc etc.
I'm a country songwriter so I can't write rock songs, or rap songs, and that's ok.
And yup, I loved Mama Cass!!............ Different era. It's not coming back.