Dr. Steele tells Max that her "lie pills" last up to fifteen minutes, and provides one pill for him and one for 99. Fifteen minutes of over-the-top lying would hardly be enough time to annoy an interrogator, and is certainly insufficient for extended questioning.
The majority of handcuffs used in the United States use a universal key which has a distinctive design, which can be clearly seen when Wanda holds up the key. There should have been dozens, if not hundreds, of keys in CONTROL Headquarters that could have quickly and easily freed Max from the bomb.
When the bomb squad drops Max down the chute, the purse falls off in the Chief's office yet the bomb "explodes in the chute".
After the groovy guru tells max and 99 how he will take them over a shadow quickly moves over the bottom left hand corner.