Air Canada Baggage allowance confusion? (Ticket details here)

katesheet

Here is what the ticket says regarding baggage.

Carry-on Baggage
On flights operated by Air Canada, Air Canada Rouge or Air Canada Express,

you may carry with you in the cabin 1 standard item (max. size: 23 x 40 x 55 cm [9 x 15.5 x 21.5 in])

and 1 personal item (max. size: 16
x 33 x 43 cm [6 x 13 x 17 in]). Your carry-on baggage must be light enough that you can store it in the overhead bin unassisted. See our complete carry-on baggage policy.

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Then it says

Checked Baggage
Please see below for details on the bags you plan on checking at the baggage counter.

1st bag
£ 45.00 GBP
Including taxes

2nd bag
£ 80.71 GBP
Including taxes

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Ticket purchased was economy basic, here are the details above.


Base Fare 37.00
Carrier Surcharge 203.00
Taxes, fees and charges
Air Passenger Duty - United Kingdom £xx.xx
Passenger Service Charge - U.K. £xx.xx
Harmonized Sales Tax - Canada (GST/HST #10009-2287 RT0001) £xx.xx
Air Travellers Security Charge - Canada £xx.xx
Airport Improvement Fee - Canada £xx.xx

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Questions:
Does that mean for 1 suitcase they have to pay £45?

or 1 suitcase (23kg) to take on board

I thought 1 suitcase and 1 hand luggage is allowed for free?

Carry on baggage?
1 standard item & 1 personal item,

Can you have 1 small suitcase (which people usually have on wheels) AND 1 racksack on your back?

with the laptop going inside the small suitcase?



Thnx


added: the booking was done direct with the airline (air canada website)

Not a 3rd party.

Does this make things different? or £45 has to be paid?