1 and 2 are the same plant. Some type of Palm.
3 and 4 are both the same plant. Some type of Malus
SOLVED: Plantas Mexicanas
#1/2 - need to see the trunk. Are there spines?
#3/4 does look like an apple
#5 looks like a Malvaceae - any blooms?
palm looks like a Phoenix species, though not enough palm or old enough plant for me to tell for sure