Sure! Here are the mistakes in each sentence:

1. "My jet pack is on the ground and **her** is on the table."
- Mistake: **her** should be **it**
- Corrected: "My jet pack is on the ground and **it** is on the table."

2. "I think more people will be using skycycling **tubes** in the future."
- Mistake: **skycycling** should be **sky cycling** (if it refers to cycling in the sky) or **skykrat** depending on the context; this may need clarification.
- Corrected (if fixing skycycling): "I think more people will be using **sky cycling** ..."

3. "This is Mr and **Mrs Evers'** house and **those** are **theirs** children."
- Mistake: **theirs** should be **their**
- Corrected: "This is Mr and **Mrs Evers'** house and **those** are **their** children."

4. "My brother will **pedal** his monowheel to work at **this time** next week."
- Mistake: **pedal** should be **ride** (though contextually it can be debated); however, this is a common phrase alteration.
- Corrected: "My brother will **ride** his monowheel to work at **this time** next week."

5. "Will we **travelling** in driverless and high-speed cars in the future?"
- Mistake: **travelling** should be **traveling** or **be traveling**
- Corrected: "Will we **be traveling** in driverless and high-speed cars in the future?"

You may consider if you'd like to correct some words of common-phrase adjustment, depending on context.