OP, your child is overall small. Low percentage of weight AND height isn't worrisome. Falling off a chart, large drop in percentage, basically changed in percentages can sometimes be indicative of something. My 7 year old DS has always been 5-10% for weight but just fell off the chart last year. Our ped was unconcerned since he has always been low on the chart. Plus he will eat two 5 Guys burgers. We think he has a hallow leg.
Just feed him what he will eat and don't focus on meat as long as he is getting good protein from other sources.