Travel time to Mars using a conventional rocket is some six months and I think that is too long, especially as you are not protected by the Van Allen belts. Using a solar sail or an ion rocket or something similar should reduce travel time to some three months which is already long enough. Plenty of time will be needed to develop the necessary technology so a manned launch to Mars is reasonable.
A lot more then that,
the First Problem is political, The Space Treaty, And In Particular Planetary protection. If Mars has Life then "Make no Landing here" If not then, All systems are go!
next is the Orbits you have a short launch window, you have to catch just the right Orbit to get your crew to Mars, with a Travel time varies based on orbits and Intercept Course.
The Hohmann transfer orbit gives you 234 days roughly 7 months. with 452 days on mars but you can only launch at set periods. every 26 months.
Now You can cut that down with a Crocco Grand Tour to 113 days , But your space craft will be sent on a "Grand Tour" Redirecting to Venus 154 days before heading back to earth in 98 days and you have maybe a 10-30 day window to land and operate on Mars before the craft departs for Venus. really though this is the best option for a pure Flyby. and again set periods
Ballistic capture this is considered the cheapest option and offers more windows but not necessarily the shortest flight time. it offers more flexible launch times. options for resupply of a manned mission but flight time goes up to about 9 months.
This is all using conventional rocket power, you can go faster but you need more power and the ability to slow. Fast transfer orbits. That means a system using a plentiful fuel supply. can cut travel down to 4 months the problem is Fuel and that is where Ion drives and solar sails come in. Really I don't think Solar sales are the best option as they would need to be huge. the most realistic is a Nuclear powered Ion drive.
Personally I think all of the Above for a Manned mars program.
The "Grand Tour" being the opening act would be sending some observation craft and using the flyby to conduct some preliminary scouting of landing zones dropping unmanned rovers to prospect LZ's and test ship systems. then make a flyby of Venus and deploy probes of the upper atmosphere where the pressure and acidity is lower then the hellish surface
Hohmann would be used to send the preliminary supply mission ahead of the manned landing mission. sending unmanned rovers and excavators as well as solar array and fuel processors, a MAV and a HAB.
Fast Transfer for the manned landing expedition and occasional ballistic capture for remote resupply.
Now no matter the travel time you have the space threats of Radiation and micro gravity on a manned crew.
You can partially shield your crew to a degree you need plastics metals and water but all has to be brought into space. You can also partially negate the gravity issue with centrifugal force. However the weights cost and engineering are large challenges. not impossible but large.
You need a crewed habitat module, supply modules and a landing vehicle or Vehicles. These parts alone would be a small space station. Add in a propulsion module with a reactor. Nuclear reactors in space is not new or shocking. Despite Zubrin over the past 30 years we have made alot of steps forward in the arena of Nuclear propulsion.
Spinning it a issue you have to spin the craft in such a manner to generate the artificial gravity with outside effects that means it has to be big. If its a small spin the crew would suffer from issues of the Coriolis effect which would produce dizziness and flailing. two options here a wheel ship or is to rotate the craft along it's length. Cost wise the rotating along the length is probably the best bet. your crew would live at one end with all the dangerous stuff at the other. You can also use compression suits to partially simulate gravity on the bones and skeleton of the crew and exorcise including powered exoskeletons to add tension.
Okay you get that far now you have to make orbit and then land.
Parachutes as we know them are not a option. Mar's thinner atmosphere means that a manned lander has to have a parachute the size of the super dome. that's a lot of weight and It's doubt-able that it would even open. you need to increase the drag of your lander and control your landing. Your not going to drop on a parachute. you might have some airbags to help cushion. but your going to burn a engine. Probably more than one I would say 4 positioned around the edge of the craft angled out at maybe 15* out to use the exhaust to add more drag add some ballutes to serve as flaps and a heat shield.
Great your on Mars.... Now the problems on Mars.
Radiation is still a issue. windstorms are not a real issue the atmosphere is so thin that only the finest particulate is kicked up.
The Atmosphere, power and supplies and even manned rovers have to be waiting unless your only there for 10 days that means multiple unmanned missions.