Hi Cybrama.Thanks for your posting and questions.
The first weed photo you provided is 'Mile a minute' or 'coastal morning glory' (Ipomoea cairica). The species can be known to smother trees and understorey plants if left unchecked. I. cairica reproduces via both seed and by rooting along its stems, so when removing all stems and plant parts the roots should also be dug up to ensure no regrowth occurs and include some soil to reduce seeds re-sprouting.
This rampant climber or creeper weed is declared under Council as an Environmental Weed. A link is provided for you to Council's Weed Identification Tool which tells you a little bit more about the weed and specifically how to treat and control it.
http://68.178.151.23/weed/178/
The second weed photo you provided is 'Singapore daisy' (Sphagneticola trilobata). This also is a vigorous creeper. It can form a dense mat and occasionally climb over other native vegetation. S. trilobata is particularly troublesome and highly invasive as it reproduces by broken off stem fragments which readily take root when coming into contact with the ground.
This species is listed as a Class 3 Declared Plant in Queensland and is classified an Environmental Weed by Council. We would recommend you try to contain and reduce it from spreading elsewhere. A link is provided for you to Council's Weed Identification Tool which provides further information and shows you methods in treating it.
http://68.178.151.23/weed/131/
You may also like to go to Biosecurity Queensland website and review their fact sheet on treatment.
http://www.dpi.qld.gov.au/documents/Biosecurity_EnvironmentalPests/IPA-Singapore-Daisy-PP92.pdf
It was a bit of a challenge identifying the third weed in question from the photo, however after consulting with colleagues we believe it could be 'Tall fleabane or Broadleaf fleabane' (Conyza sumatrensis). It is a very common weed of gardens, lawns, disturbed areas and roadsides.
The Suburban and Environmental Weeds of South-East Queensland (2008) state it to be a short-lived herbaceous plant that reproduces only by seed. The seeds are easily blown and dispersed by wind and can be spread by machinery, animals, in clothing and clippings.
Spot spraying may be one option in treating this weed but if you would like information on the management of this species see Suburban Weeds (Third Edition), by Kleinschmidt, Holland and Simpson (1996), page 28.
Good luck and happy weeding.