Things like EQing and reverb can go a long way to expressing that stuff, from the production side. Lofi drums, a reverb on the snare, so on.
The easiest way to pull on heart strings is a technique called "Appoggiatura", which kind of a grace note, I guess? It's too complicated to go into, and I'm lazy, but it's a dissonant note that resolves to consonance. Once you hear an example, you'll hear it in a lot of famous sad songs. Stick it in the chorus.
There's a ton of techniques from all areas of music production that'll do it.