"English teeth" is a bit of banter, but it's true. Tooth removal is the main reason to hospitalise (primary school age (4 to 11)) children. One in four children at five years old had some decay.
Being strict with sugar - especially in drinks - and proper toothbrushing will reduce this.
Honey is a natural expectorant, however - used in cough drops like certain Ricola flavors, so assuming your child is > 1 year old, it's actually beneficial to administer occasionally.