Test the playback of songs on computer first. If they play ok, then you know the issue is either with the burning process or disk. Do you have appropriate CD burner software that can convert the files properly, is the CD disk of reasonable quality, are you burning too fast?

Some players do not like CD's burnt at high speed, some also don't like the high speed CD disks. For that reason I always burn at minimum speed possible, and also generally choose CD-R's that are low or medium speed abilities.

I tested out various CD-R brands & know which ones are reliable. I can tell you the super cheap ones may not burn properly (when played back will either skip or have distortion in background.) And the super cheap ones due to the way they are made will often wear out (the chemicals start to corode) & the player has difficulty reading them after either 6 or 12 months, resulting in again, distortion or skipping or slow to even start playing them.

Good quality CD-R's will last much longer & burn more reliably. (Whilst some new players nowadays can play CD-RW's, these are not recommended as they have a lower readability capability; lower reflectivity. CD-RW's are made differently to CD-R's.)