Your questions are mind-boggling. It's attracted me to chime in and add some explanations to others'.
>> 6.They shook hands politely, while Tubertini scornfully surveyed the tiny silver of a restaurant.(silver? and why say "a restaurant" instead of "the restaurant")
It seems that you mistakenly read the original text. Let me recite the passage again below:
"Lazarov arrived first and did not wait for a table. He knew from experience the crowd thinned around 4 P.M., especially on Thursdays. He ordered a glass of red wine. The waitress tipped the hourglass above his head, and the race was on. He sat at a front table, facing the street, his back to the other tables. He was a heavy man of fifty-eight, with a thick chest and ponderous belly. He leaned hard on the red-checkered tablecloth and watched the traffic on Forty-sixth.
Thankfully, Tubertini was prompt. Less than a fourth of the white sand was wasted on him. They shook hands politely, while Tubertini scornfully surveyed the tiny sliver of a restaurant. He flashed a plastic smile at Lazarov and glared at his seat in the window. His back would face the street, and this was extremely irritating. And dangerous. But his car was just outside with two of his men. He decided to be polite. He deftly maneuvered around the tiny table and sat down."
It should be sliver and not silver. Reading from the context, Tubertini seems to be a composed, elegant aristocrat who is into perfection and fancy things. The phrase " Tubertini scornfully surveyed the tiny silver of a restaurant" practically means that Tubertini was gazing at the wooden sliver normally found covering the floor or decorating the wall or the roof of a restaurant. This implies that the restaurant they were in, was a shoddy restaurant to Tubertini's standard.
------ I’m game. (?)
This is a famous expression you can find in Hollywood movies or breaking news. The phrase means "I'm in". To a broader sense, it's usually a response said to answer a challenge.
A: They said that you won't be running for the presidency. (A negative statement to challenge the interviewee)
B: I'm game to run for the office (B will compete with other presidential candidates for a seat on the president desk)