My younger son did all three on his birthdays as you listed. He also got his multi-engine on his 18th birthday and his CFI on his 19th birthday, and started as an airline pilot when he was 21 1/2 years old. Upgraded to capt. when he was 25 and then a check airman when he was 28.
Wow...now THAT should make headlines...I feel so under-accomplished!!...:o)