(section: 2 / paragraph: a / line: 1)
No, as stated in the description para 1 the task is to design and build a robot to accomplish a task, not just to accomplish a task. General rule #7 applies in that current team members must have constructed all pre-built devices. Note competitive robots can be made rather cheaply and do NOT require expensive parts. Successful teams have built systems using all new parts for ~$50.
(section: 2 / paragraph: b / line: 1)
Yes, as long as the device uses one of the frequencies allowed in the rules as outlined on the NSO website, that would comply with the remote control through radio waves. However, be careful of the device used, it must not allow control or aid from sources outside the competitors.
(section: 2 / paragraph: B / line: 1)
Yes, Bluetooth, among other standards, is explicitly allowed in the general rules on radiof frequencies referenced in the printed rules. The general rules are accessible from the Robo-Cross event page at: http://www.soinc.org/sites/default/files/uploaded_files/Remotecontrolgeneralrules.pdf
(section: 2 / paragraph: c / line: 1)
As per rule 2.c, commercial kits may be used, but must have at least one functional modification. A functional modification is already defined within the rule as the lack of a modification causing the robot to either not work or working differently. This means either a robot pulled out of a box or a kit built that exclusively follows a manufacturer's directions would not be legal for competition. A team is, however, allowed to start with the raw kit/device, run tests on the device, and make modifications prior to competition. Competitors are, in fact, expected to do so prior to the competition as there is no complete device designed for Science Olympiad Robo-Cross that is commercially available.
(section: 2. / paragraph: b. / line: 1)
Yes. Programmable controllers on the robot or in a remote box are allowed. But if the robot is touched after the Event Supervisor says "1, 2, 3, go" the time will stop per rule 5.f.iv.
(section: 4 / paragraph: j / line: 1)
The bonus jug will be a plastic milk or juice jug provided by the local event supervisor and will be what is available locally. It is recommended to use a jug that is squared on the bottom and has 4 sides, not a rounded jug. If there are more than one playing fields are a competition, the jugs must be identical.
(section: 5 / paragraph: c,e / line: 1,1)
(section: 5 / paragraph: f / sub-paragraph: iii / line: 1)
No, the wires from the controller are part of the controller. No part of the rule requires time stop for the controller touching the ground.
(section: 6 / paragraph: c / line: 1)
Yes, 6.c. should read: The score will be reduced one point for each incorrect identification in 5. line 1-2.
(section: Unknow / line: Unknow)
Yes. The general rules referenced in para 2.h at http://www.soinc.org/sites/default/files/uploaded_files/Remotecontrolgeneralrules.pdf specifically allow smartphones. However, be aware, some tournaments may have rules against cell phone use by competitors, I suggest you clear such use tournament by tournament.